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Finding the Fourth Proportional to 8,281, 12,422.22 and 2,125

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Solution

The fourth proportional to 8,281, 12,422.22 and 2,125 is: 3,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281 : 12,422.22 = 2,125 : x
  2. Step 2: Convert to fraction form
    8,281/12,422.22 = 2,125/x
  3. Step 3: Cross multiply
    8,281x = 12,422.22 × 2,125
  4. Step 4: Simplify right side
    8,281x = 26,397,217.50
  5. Step 5: Solve for x
    x = 26,397,217.50/8,281
  6. Step 6: Final answer
    x = 3,187.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.